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Sectors and Area

This worksheet covers Sectors and Area, which is part of the Circles Destroyer module in the SAT Math Destroyer Crash Course course. Practice problems are designed to strengthen key concepts and build confidence.

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Sectors and Area

Circles Destroyer • SAT Math Destroyer Crash Course

Set 2 — Mastery

A circular pizza has a radius of $r = 10$ inches. What is the area of a sector that represents $90$ degrees of the pizza?

$25\pi$

$50\pi$

$100\pi$

$75\pi$

A sector of a circle has an area of $32\pi$ square units and a radius of $8$ units. What is the measure of the angle of the sector in degrees?

$60$

$120$

$80$

$90$

If a circle has a circumference of $40\pi$ units, what is the area of a sector with an angle of $180$ degrees?

$100\pi$

$50\pi$

$200\pi$

$25\pi$

A circular garden has a diameter of $12$ feet. What is the area of the sector created by a $90$ degree angle?

$18\pi$

$12\pi$

$6\pi$

$9\pi$

A sector has an area of $50\pi$ square inches and a radius of $10$ inches. What is the measure of the angle of the sector in radians?

$\frac{\pi}{3}$

$\frac{5\pi}{6}$

$\frac{\pi}{2}$

$\frac{\pi}{4}$

A circular track has a radius of $15$ meters. What is the area of a sector with a central angle of $120$ degrees?

$75\pi$

$150\pi$

$100\pi$

$50\pi$

If a sector of a circle has a radius of $r = 5$ cm and an area of $10\pi$ cm², what is the angle of the sector in degrees?

$60$

$90$

$120$

$180$

A circular swimming pool has a radius of $r = 20$ ft. What is the area of a sector with a central angle of $150$ degrees?

$100\pi$

$200\pi$

$150\pi$

$50\pi$

A sector of a circle has a radius of $10$ cm and an angle of $45$ degrees. What is the area of the sector?

$25\pi$

$5\pi$

$10\pi$

$15\pi$

10.

What is the area of a sector with a radius of $8$ cm and an angle of $60$ degrees?

$8\pi$

$12\pi$

$16\pi$

$4\pi$

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